**Proceedings of Symposia in Pure Mathematics**

Volume: 38;
1982;
625 pp;
Hardcover

MSC: Primary 46;

Print ISBN: 978-0-8218-1444-4

Product Code: PSPUM/38.2

List Price: $87.00

AMS Member Price: $69.60

MAA Member Price: $78.30

**Electronic ISBN: 978-0-8218-9328-9
Product Code: PSPUM/38.2.E**

List Price: $87.00

AMS Member Price: $69.60

MAA Member Price: $78.30

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# Operator Algebras and Applications, Part 2

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*Richard V. Kadison*

# Table of Contents

## Operator Algebras and Applications, Part 2

- Table of Contents–Part 2 vii8 free
- Author index xi12 free
- Celebration of Tomita's theorem 118 free
- Positive cones for von Neumann algebras 522
- Geometric aspects of the Tomita-Takesaki theory 1734
- Left Hilbert systems 2138
- ITPFI factors—a survey 2542
- Classification des facteurs 4360
- Automorphisms and von Neumann algebras of type III 111128
- A survey of W*-categories 137154
- Actions of non-abelian groups and invariant Γ 141158
- Cohomological invariants for groups of outer automorphisms of von neumann algebras 145162
- Automorphism groups and invariant states 149166
- Compact ergodic groups of automorphisms 163180
- Actions of discrete groups on factors 167184
- Ergodic theory and von Neumann algebras 179196
- Topologies on measured groupoids 227244
- Cohomology theory for operator algebras 229246
- Low dimensional cohomology of Banach algebras 253270
- Derivations and their relation to perturbations of operator algebras 261278
- Invariants of C*-algebras stable under perturbations 275292
- The map Ad: U(B) → Inn B 281298
- Automorphisms of continuous trace C*-algebras 285302
- On lifting automorphisms 289306
- Derivations and automorphisms of Jordan C*-algebras 291308
- Order structure and Jordan Banach algebras 297314
- A Tomita-Takesaki theory for JBW-algebras 301318
- Faithful normal states on JBW-algebras 305322
- Developments in the theory of unbounded derivations in C*-algebras 309326
- Derivations of abelian C*-algebras 333350
- Closed *-derivations commuting with an automorphism group 339356
- Differentiable structure on non-abelian C*-algebras 343360
- Unbounded *-derivations and infinitesimal generators on operator algebras 353370
- Semiderivations on group C[sup(↑)]-algebras 367384
- Perturbations 371388
- Generators of dynamical semigroups 377394
- The characterization of the analytic generator of *-automorphism groups 381398
- Almost uniformly continuous dynamical systems 385402
- Algebras of unbounded operators 389406
- C*-algebras and statistical mechanics 407424
- Does ergodicity plus locality imply the Gibbs structure? 467484
- Stability in statistical mechanics 491508
- Phase transitions 499516
- Nature of Bose condensation 503520
- Perturbations of free evolutions and Poisson measures 509526
- Structural questions in quantum field theory 513530
- New light on the mathematical structure of algebraic field theory 523540
- Algebraic and modular structure of von Neumann algebras of physics 551568
- Local nets of C*-algebras and the structure of elementary particles 567584
- Quasi-periodic Hamiltonians. A mathematical approach 579596
- Positive linear maps 583600
- Representations of inseparable C*-algebras 591608
- C*-algebras with a countable dual 593610
- On the extensions of C*-algebras relative to factors of type II[sub(∞)] 597614
- A structure theory in the regular monotone completion of C*-algebras 601618
- Commuting pairs of C* algebras in the Calkin algebra 605622
- C*-algebras of multivariate Wiener-Hopf operators 607624
- The concept of bibounded operators on W*-algebras 611628
- Contractive projections on C*-algebras 615632
- Problems on joint quasitriangularity for N-tuples of essentially commuting, essentially normal operators 619636
- Spectral permanence for joint spectra 623640
- Unbounded negative definite functions and property T for locally compact groups 625642